Home / 2,842.47-3,922.38-1,583.33

Finding the Fourth Proportional to 2,842.47, 3,922.38 and 1,583.33

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Solution

The fourth proportional to 2,842.47, 3,922.38 and 1,583.33 is: 2,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.47 : 3,922.38 = 1,583.33 : x
  2. Step 2: Convert to fraction form
    2,842.47/3,922.38 = 1,583.33/x
  3. Step 3: Cross multiply
    2,842.47x = 3,922.38 × 1,583.33
  4. Step 4: Simplify right side
    2,842.47x = 6,210,402.31
  5. Step 5: Solve for x
    x = 6,210,402.31/2,842.47
  6. Step 6: Final answer
    x = 2,184.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.